LEADER 03250nam 2200601 450 001 996466533303316 005 20220303104042.0 010 $a3-540-39300-5 024 7 $a10.1007/BFb0078035 035 $a(CKB)1000000000437479 035 $a(SSID)ssj0000322872 035 $a(PQKBManifestationID)12131466 035 $a(PQKBTitleCode)TC0000322872 035 $a(PQKBWorkID)10289789 035 $a(PQKB)11483602 035 $a(DE-He213)978-3-540-39300-9 035 $a(MiAaPQ)EBC5585423 035 $a(Au-PeEL)EBL5585423 035 $a(OCoLC)1066180801 035 $a(MiAaPQ)EBC6842824 035 $a(Au-PeEL)EBL6842824 035 $a(OCoLC)793079074 035 $a(PPN)155197444 035 $a(EXLCZ)991000000000437479 100 $a20220303d1988 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aElliptic curves and modular forms in algebraic topology $eproceedings of a conference held at the Institute for Advanced Study, Princeton, Sept. 15-17, 1986 /$fP. S. Landweber (editor) 205 $a1st ed. 1988. 210 1$aBerlin :$cSpringer-Verlag,$d[1988] 210 4$dİ1988 215 $a1 online resource (VIII, 232 p.) 225 1 $aLecture notes in mathematics ;$v1326 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-19490-8 311 $a3-540-19490-8 327 $aElliptic genera: An introductory overview -- Elliptic formal groups over ? and F p in applications to number theory, computer science and topology -- Elliptic cohomology and modular forms -- Supersingular elliptic curves and congruences for legendre polynomials -- Some weil group representations motivated by algebraic topology -- Genres elliptiques equivariants -- Complex cobordism theory for number theorists -- Dirichlet series and homology theory -- Constrained Hamiltonians an introduction to homological algebra in field theoretical physics -- The index of the dirac operator in loop space -- Jacobi quartics, legendre polynomials and formal groups -- Note on the Landweber-Stong elliptic genus. 330 $aA small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range, fom these topics through to quantum field theory, with considerable attention to formal groups, homology and cohomology theories, and circle actions on spin manifolds. Ed. Witten's rich article on the index of the Dirac operator in loop space presents a mathematical treatment of his interpretation of elliptic genera in terms of quantum field theory. A short introductory article gives an account of the growth of this area prior to the conference. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1326. 606 $aAlgebraic topology 615 0$aAlgebraic topology. 676 $a514.2 702 $aLandweber$b P. S. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466533303316 996 $aElliptic curves and modular forms in algebraic topology$980206 997 $aUNISA